Local Measures Distribution for the Estimation of the Elongation Ratio of the Typical Grain in Homogeneous Boolean Models

Autor:	Tatyana Eremina, Johan Debayle, Frederic Gruy, Jean-Charles Pinoli
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	boolean model elongation ratio local measures minkowski functionals Medicine (General) R5-920 Mathematics QA1-939
Zdroj:	Image Analysis and Stereology, Vol 40, Iss 2, Pp 95-103 (2021)
Druh dokumentu:	article
ISSN:	1580-3139 1854-5165
DOI:	10.5566/ias.2554
Popis:	We introduce a particular localization of the Minkowski functionals to characterize and discriminate different random spatial structures. The aim of this paper is to present a method estimating the typical grain elongation ratio in a homogeneous Boolean model. The use of this method is demonstrated on a range of Boolean models of rectangles featuring fixed and random elongation ratio. An optimization algorithm is performed to determine the elongation ratio which maximize the likelihood function of the probability density associated with the local perimeter measure. Therefore, the elongation ratio of the typical grain can be deduced.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fe0be289c41c4088a86832c20d046217 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF